MCQ

True or False

Is the following statement true and false :

If one angle of a triangle is obtuse, then it cannot be a right angled triangle.

#### Options

Ture

False

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#### Solution

If one angle of a triangle is obtuse, then it cannot be a right angles triangle.

According to the angle sum property of the triangle

In ΔABC

∠A +∠B + ∠C = 180°

Now, if it is a right angled triangle

Then,

∠A + ∠B + ∠C = 180°

90° + ∠B + ∠C =180°

∠B +∠C = 90°

Also if one of the angle’s is obtuse

∠B +∠C > 90°

This is not possible.

Thus, if one angle of a triangle is obtuse, then it cannot be a right angled triangle.

Is there an error in this question or solution?

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